计算机科学 ›› 2023, Vol. 50 ›› Issue (4): 63-76.doi: 10.11896/jsjkx.221000169
马文胜1, 侯锡林2
MA Wensheng1, HOU Xilin2
摘要: 2018年以来,学者们在形式概念分析中提出并研究了“概念约简”的新课题,包括不必要概念、核心概念、相对必要概念这3类概念的鉴别研究,以及概念约简算法的研究。文中提出了同效关系,研究了其重要性质,给出了通过同效关系鉴别3类概念的简单的方法,并给出了由同效关系子集补集的概念格来得到概念约简的新算法。多年来,“约简课题”的算法都是使用合取范式和析取范式相互转换的方法,很多学者甚至表示“约简问题”就等同于合取范式和析取范式的转换问题。文中研究了不使用合取范式和析取范式转换来解决“约简课题”的新方法。该新方法不论是在理论上还是在实践上都极具意义,是一次新的尝试。一个背景的“概念约简”往往非常多,全部求出没有太大意义,一般需要求包含某些概念的“概念约简”,而所提方法在这方面具有显著的优越性。
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